有限元分析与应用 | Finite Element Method (FEM) Analysis and Applications from edX

Do you want to become an expert at structural analysis?

Finite Element Method (FEM) is a powerful tool. FEM is an effective numerical technique for partial differential equations (PDEs) in engineering. The fact that modern engineers can obtain detailed information for structural, thermal, electromagnetic problems with virtual experiments largely gives credit to FEM. The finite element method provides infinite possibilities for engineering, and this course provides a detailed introduction of FEM and its applications in engineering and beyond.

This course is divided into 15 lessons, which introduce basic equations of mechanics, mathematical principles of FEM, realizations in both discrete and continuum structures, various applications in engineering and skills at modeling with FEM software. Examples are demonstrated with MATLAB and ANSYS.

有限元方法(finite element method)：基于数学力学原理，采用计算机信息化分析手段，完整获取复杂工程问题及科学研究中的定量化结果，也被称为一种基于计算机信息化处理的“虚拟实验”，在数学上它是求取复杂微分方程近似解的有效工具，是现代仿真技术的重要基础原理。有限元分析的力学基础是弹性力学，方程求解的数学原理是加权残值法和泛函极值原理，实现的方法是数值化离散技术，最终的载体是有限元分析软件。有限元方法已成为机械、航空航天、土木、力学等专业学生的必备知识。

这门课程的主要内容包括：基本变量和力学方程、数学求解原理、离散结构和连续体的有限元分析实现、各种应用领域、有限元分析的软件平台和建模技巧等。在强调有限元理论的工程背景和物理概念的同时，通过一些典型的实例来深入浅出地系统阐述有限元分析的基本原理。此外，课程基于MATLAB演示基于有限元原理的编程方法，通过ANSYS来展示应用有限元方法的具体建模过程。

What's inside

Learning objectives

Basic equations of mechanics
Mathematical principles of finite element method (fem)

Realizations in discrete and continuum structures
Basics of matlab and ansys

Basic equations of mechanics
Mathematical principles of finite element method (fem)
Realizations in discrete and continuum structures
Basics of matlab and ansys

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Explores the Finite Element Method (FEM), an effective numerical technique for solving partial differential equations (PDEs)

Taught by recognized experts in the field: Pan Zeng and Liping Lei

Provides a comprehensive introduction to FEM and its applications in engineering and beyond

Covers basic equations of mechanics, mathematical principles of FEM, and realizations in both discrete and continuum structures

Demonstrates examples with MATLAB and ANSYS, providing practical insights into FEM software application

May be particularly suitable for students in engineering, specifically mechanical, aerospace, civil, and mechanical, who seek to strengthen their knowledge of FEM

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in 有限元分析与应用 | Finite Element Method (FEM) Analysis and Applications with these activities:

Review basic equations of mechanics

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Reviewing basic mechanics equations will prepare you for more advanced topics in this course.

Browse courses on Mechanics

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Review Newton's laws of motion
Review the concept of stress and strain
Review the equations for equilibrium

Join a study group

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Joining a study group will allow you to connect with other students, share your knowledge, and learn from others.

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Find a study group to join
Attend study group meetings regularly
Participate in discussions
Help other students with their understanding

Learn the basics of Python

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Python is a powerful tool that can be used to solve a wide variety of engineering problems. This tutorial will teach you the basics of Python so that you can use it to your advantage in this course.

Browse courses on Python

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Install Python on your computer
Learn the basics of Python syntax
Write a simple Python program

Two other activities

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Read 'Introduction to Finite Element Analysis' by O.C. Zienkiewicz

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This book provides a comprehensive introduction to the finite element method and its applications in engineering.

View The Finite Element Method for Fluid Dynamics on Amazon

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Read the book's introduction
Read the book's chapters in order
Work through the book's exercises

Build a finite element model of a simple structure

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Building a finite element model will allow you to apply the concepts you have learned in this course to a real-world problem.

Browse courses on Structural Analysis

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Choose a simple structure to model
Create a geometry for your model
Mesh your model
Apply loads and boundary conditions to your model
Solve your model
Analyze your results

Career center

Learners who complete 有限元分析与应用 | Finite Element Method (FEM) Analysis and Applications will develop knowledge and skills that may be useful to these careers:

Structural Engineer

Structural Engineers analyze and design structures to ensure their safety and stability. A strong understanding of FEM is essential for Structural Engineers as it allows them to accurately predict the behavior of complex structures under various loading conditions. This course provides a comprehensive overview of FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in structural engineering. By taking this course, Structural Engineers can deepen their knowledge of FEM and enhance their ability to design safe and reliable structures.

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Aerospace Engineer

Aerospace Engineers design, develop, and test aircraft, spacecraft, and related systems. FEM plays a crucial role in the aerospace industry, enabling engineers to analyze and optimize complex aerodynamic shapes and structures. This course provides a solid foundation in FEM, covering the basics of mechanics, mathematical principles, and applications in aerospace engineering. Aerospace Engineers who take this course will gain valuable knowledge and skills that can enhance their ability to design and analyze aerospace systems.

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Computational Engineer

Computational Engineers leverage their knowledge of numerical techniques like the finite element method (FEM) to develop computer models used to simulate physical systems. This course provides the basic equations of mechanics, mathematical principles of FEM, and its application across various engineering disciplines. Learning these concepts can help Computational Engineers build a foundation in FEM and enhance their ability to create accurate and efficient computer simulations.

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Mechanical Engineer

Mechanical Engineers design, develop, and test a wide range of mechanical systems, including engines, machines, and robotics. FEM is a powerful tool for Mechanical Engineers, allowing them to analyze and optimize the performance of complex mechanical components. This course provides a comprehensive overview of FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in mechanical engineering. By completing this course, Mechanical Engineers can develop a strong foundation in FEM and enhance their ability to design and analyze efficient mechanical systems.

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Civil Engineer

Civil Engineers design, construct, and maintain infrastructure projects, such as bridges, buildings, and roads. FEM is widely used in civil engineering to analyze and optimize the behavior of structures under various loading conditions. This course provides a thorough introduction to FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in civil engineering. By taking this course, Civil Engineers can gain valuable knowledge and skills that will enable them to design and analyze safe and reliable infrastructure projects.

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Materials Scientist

Materials Scientists research and develop new materials with improved properties and performance. FEM is a valuable tool for Materials Scientists, allowing them to analyze and predict the behavior of materials under various conditions. This course provides a foundational understanding of FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in materials science. By completing this course, Materials Scientists can gain valuable knowledge and skills that can enhance their ability to develop and optimize new materials.

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Acoustics Engineer

Acoustics Engineers design and analyze systems to control noise and vibration. FEM is a powerful tool for Acoustics Engineers, enabling them to model and analyze the behavior of sound waves in complex environments. This course provides a comprehensive overview of FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in acoustics engineering. By taking this course, Acoustics Engineers can gain the knowledge and skills needed to effectively design and analyze acoustic systems.

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Biomedical Engineer

Biomedical Engineers design and develop medical devices and technologies. FEM is increasingly used in biomedical engineering to analyze and optimize the performance of medical devices and implants. This course provides a foundational understanding of FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in biomedical engineering. By completing this course, Biomedical Engineers can gain valuable knowledge and skills that can enhance their ability to design and analyze safe and effective medical devices.

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Petroleum Engineer

Petroleum Engineers design and develop methods for extracting oil and gas from underground reservoirs. FEM is a valuable tool for Petroleum Engineers, enabling them to model and analyze the behavior of fluids and rocks in complex geological formations. This course provides a basic understanding of FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in petroleum engineering. By taking this course, Petroleum Engineers can gain the knowledge and skills needed to effectively design and analyze oil and gas extraction systems.

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Nuclear Engineer

Nuclear Engineers design and operate nuclear power plants and other nuclear facilities. FEM is used in nuclear engineering to analyze and optimize the behavior of nuclear reactors and other nuclear components. This course provides a basic understanding of FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in nuclear engineering. By completing this course, Nuclear Engineers can gain valuable knowledge and skills that can enhance their ability to design and analyze safe and efficient nuclear systems.

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Robotics Engineer

Robotics Engineers design, develop, and maintain robots. FEM is a valuable tool for Robotics Engineers, enabling them to analyze and optimize the performance of robotic systems. This course provides a basic understanding of FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in robotics engineering. By completing this course, Robotics Engineers can gain the knowledge and skills needed to effectively design and analyze robotic systems.

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Automotive Engineer

Automotive Engineers design, develop, and test vehicles. FEM is increasingly used in automotive engineering to analyze and optimize the performance of vehicles and their components. This course provides a basic understanding of FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in automotive engineering. By taking this course, Automotive Engineers can gain the knowledge and skills needed to effectively design and analyze vehicles and their components.

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Manufacturing Engineer

Manufacturing Engineers design and develop manufacturing processes. FEM is used in manufacturing engineering to analyze and optimize the behavior of materials and manufacturing processes. This course provides a basic understanding of FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in manufacturing engineering. By taking this course, Manufacturing Engineers can gain the knowledge and skills needed to effectively design and analyze manufacturing processes.

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Geotechnical Engineer

Geotechnical Engineers design and develop solutions to geotechnical problems, such as soil stability and foundation design. FEM is used in geotechnical engineering to analyze and optimize the behavior of soils and other geotechnical materials. This course provides a basic understanding of FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in geotechnical engineering. By taking this course, Geotechnical Engineers can gain the knowledge and skills needed to effectively design and analyze geotechnical systems.

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Environmental Engineer

Environmental Engineers design and develop solutions to environmental problems. FEM is used in environmental engineering to analyze and optimize the behavior of environmental systems. This course provides a basic understanding of FEM, covering its mathematical principles, implementation for both discrete and continuum structures, and applications in environmental engineering. By taking this course, Environmental Engineers can gain the knowledge and skills needed to effectively design and analyze environmental systems.

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